Solve 93/4-11/3=

$$9 \frac { 3 } { 4 } - 1 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{101}{12}\approx 8.416666667$$

Solution Steps

Multiply 9 and 4 to get 36.

$$\frac{36+3}{4}-\frac{1\times 3+1}{3}$$

Add 36 and 3 to get 39.

$$\frac{39}{4}-\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{39}{4}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{39}{4}-\frac{4}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{39}{4} and \frac{4}{3} to fractions with denominator 12.

$$\frac{117}{12}-\frac{16}{12}$$

Since \frac{117}{12} and \frac{16}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{117-16}{12}$$

Subtract 16 from 117 to get 101.

$$\frac{101}{12}$$

Factor

$$\frac{101}{2 ^ {2} \cdot 3} = 8\frac{5}{12} = 8.416666666666666$$